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Math

Geometry: Seeing, Doing, Understanding (Jacob’s), Part Two

With Monica Breier

Learn the foundational skills of Geometry — including two- and three-dimensional shapes, lines, rays, and figures in a plane — and use deductive and analytical reasoning, logic, and problem solving with clear illustrations of all equations.

This course continues the rigor of developing logical reasoning and critical thinking through proofs and constructions. Students will focus this semester on sharpening their deductive reasoning strategies to understand area, similarity, circles and polygons, solids, and discuss non-Euclidean geometry. They will continue to hone their cognitive skills necessary for logical thinking as young adults.

Week 1: Area

Week 2: Similarity

Week 3-4: The Right Triangle

Week 5-6: Circles

Week 7-8: The Concurrence Theorems

Week 9-10: Regular Polygons and the Circle

Week 11-12: Geometric Solids

Week 13-14: Non-Euclidean Geometries

**Course materials:** Geometry: Seeing, Doing, and Understanding by Harold Jacob, ISBN 0716743612 or 1683442547 (https://amzn.to/2Py3Zat or bookfinder.com), compass, protractor, ruler, graph paper, and a scientific calculator.

**Homework:** Daily assignments (aside from test days) taking 20-30 minutes, with weekly quizzes or tests.

**Class dates:** Wednesdays, January 10 to April 24, 2024. (No class Feb. 14 or March 27)

**Starting time:** 2:30 PM Eastern (1:30 Central, 12:30 Mountain, 11:30 Pacific)

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